Trigonometric Substitution

  Рет қаралды 1,384,773

The Organic Chemistry Tutor

The Organic Chemistry Tutor

3 жыл бұрын

This calculus video tutorial provides a basic introduction into trigonometric substitution. It explains when to substitute x with sin, cos, or sec. It also explains how to perform a change of variables using u-substitution integration techniques and how to use right triangle trigonometry with sohcahtoa to convert back from angles in the form of theta to an x variable. There's plenty of examples and practice problems in this lesson.
Full 1 Hour 10 Minute Video:
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Direct Link to The Full Video:
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Full 1 Hour 10 Minute Video:
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Пікірлер: 416
@TheOrganicChemistryTutor
@TheOrganicChemistryTutor 2 жыл бұрын
Full 1 Hour 10 Minute Video: www.patreon.com/MathScienceTutor Direct Link to The Full Video: www.bit.ly/3zuP2s0
@mwilakellys5523
@mwilakellys5523 Жыл бұрын
awesome
@noah5756
@noah5756 Жыл бұрын
very helpful!
@yousufzohair4342
@yousufzohair4342 5 ай бұрын
I cannot become A member.. It is something to do with my country.. What can I do to watch full videos?
@Ismaelkauga
@Ismaelkauga 4 ай бұрын
I couldn't access the full 1 hour video
@martial-kr9yc
@martial-kr9yc 3 ай бұрын
Hello sir,if you don't mind you can feel free to let us enjoy the full lesson just here . humbly
@tahmidbhuiyan5591
@tahmidbhuiyan5591 3 жыл бұрын
integration used to be so much simpler ... and then this came along
@jonassal2676
@jonassal2676 2 жыл бұрын
What the heck!?
@josephrafaelb.tirona5611
@josephrafaelb.tirona5611 Жыл бұрын
It was simple?!?!
@khurshidbekkk2647
@khurshidbekkk2647 Жыл бұрын
I feel you man😢
@MichealQuinm
@MichealQuinm Жыл бұрын
Calc II wasn’t the same after the trig sub dlc
@mostafasoliman6745
@mostafasoliman6745 Жыл бұрын
​@@khurshidbekkk2647 where are fromm buddy U look like coming from 19th Egypt 😅
@NASAFanboy
@NASAFanboy 2 жыл бұрын
Trig sub is one of the hardest integration techniques to learn and you explain it in such an easy to follow way.
@citizencj3389
@citizencj3389 2 жыл бұрын
It's actually the hardest to learn because you need full knowledge of trig identities, sohcahtoa, and even inverse trig functions to solve some of these.
@cheekybum1513
@cheekybum1513 2 жыл бұрын
@@citizencj3389 bro exactly It's occured to me that I never learned or probably forgot all those identities
@mahmoudeabdel-aziz7456
@mahmoudeabdel-aziz7456 2 жыл бұрын
@@citizencj3389 dude you have written what i needed in your comment , you saved my life , i will fight for you
@deshawnburton7114
@deshawnburton7114 Жыл бұрын
Right.. its almost like the lecturers teach us in a difficult way in purpose and thus guy just tells us wassup without the bullshi*
@BraceGD
@BraceGD Жыл бұрын
Just goes on to show that calculus is easy if you have the right teacher
@daughteroftheking3220
@daughteroftheking3220 3 жыл бұрын
Honestly, I hope you succeed in whatever things you do. I wish you many more blessings in your life. You mean so much to your students. I hope you freaking go viral and gain many supporters. I don't understand how celebrities could be going viral for doing the mundane things, but our educators can't even get the recognition they deserve, as they are the ones actually changing lives. You guys deserve an award for all your hard work. I guarantee you that your hard work and dedication don't go unnoticed. We see you grinding and hustling, so thank you from the bottom of my heart. You are literally an underrated genius. Thank you so much, even words can't express how grateful we are for you. You always pull through at the right time for us all. Don't ever stop posting! I don't think I will stop watching your videos even if I finish school, just for the sake of learning and sharpening my skills. Knowledge is power and you inspire so many of us to keep learning no matter what.
@eri4232
@eri4232 2 жыл бұрын
you’re right, he has helped many of us who can’t afford tutoring and he has covered a wide aspect of subjects and topics, he deserves an award
@moof1232
@moof1232 Жыл бұрын
well spoken
@t-gler4615
@t-gler4615 Жыл бұрын
Studying is not fun and entertaining but music is entertainment thays why videos go viral
@Stickman_Productions
@Stickman_Productions Жыл бұрын
@@t-gler4615 studying is fun when you're doing it independently
@t-gler4615
@t-gler4615 Жыл бұрын
@@Stickman_Productions we talking about maths
@janine9062
@janine9062 3 жыл бұрын
I just want you to know that I’ve got a 96 in Integral and Differential Calculus because of you! I can’t thank you enough!
@charlest2858
@charlest2858 3 жыл бұрын
How did you do it?
@izzahzamri2267
@izzahzamri2267 3 жыл бұрын
that's really powerful!
@abmsirpaathshala3175
@abmsirpaathshala3175 2 жыл бұрын
kzbin.info/www/bejne/i6K2mpmBgpqYisk
@VergilPeterson
@VergilPeterson 2 жыл бұрын
Lucky you. I don’t think I can make it past calc 2
@jonathancurren5214
@jonathancurren5214 2 жыл бұрын
@@VergilPeterson yeah I am in Calc II at Ohio State, it’s terrible. I have a midterm this Friday and I’ve gotten a 45/100 and 49/100 on both my practice exams😐
@pixelninja5766
@pixelninja5766 2 жыл бұрын
2:38 "now we gotta do some math" legendary
@codywhite9979
@codywhite9979 Жыл бұрын
Me: "...that's why I'm here."
@Joseph973
@Joseph973 3 ай бұрын
18:24 "What was I thinking?" ...Me after every math test
@GTAdkdk
@GTAdkdk Ай бұрын
"The hard part's over" Me: nope, the hard part beings😢
@Diamond-vy1lx
@Diamond-vy1lx 3 жыл бұрын
This is what online math classes should be like
@andreacarmelamunda5877
@andreacarmelamunda5877 3 жыл бұрын
Aqq
@ItamiPlaysGuitar
@ItamiPlaysGuitar 3 жыл бұрын
Ikr
@freebird1685
@freebird1685 3 жыл бұрын
bro even in your real class they teach in similar way, We just dont pay attention in our real classes.
@vigneshv3846
@vigneshv3846 3 жыл бұрын
@@freebird1685 true
@abmsirpaathshala3175
@abmsirpaathshala3175 2 жыл бұрын
kzbin.info/www/bejne/i6K2mpmBgpqYisk
@jasonjackson4555
@jasonjackson4555 3 жыл бұрын
I wish this channel had been around when I was in undergrad. I remember watching my professor explain this and wondering why this class was a requirement for Econ at UCLA. Now, many years later, I’m still waiting for a chance to show off my trig substitution skills. I’m getting my MBA in 2 weeks and I didn’t need it there either.
@BaoBao-im4zv
@BaoBao-im4zv 2 жыл бұрын
I am studying econ and i was asking myself why should i see this kind of math but here i am seeing, this won't help with anything in the future too.
@karstenkunneman5219
@karstenkunneman5219 Жыл бұрын
Did you use it in those last 2 weeks?
@paulveba6225
@paulveba6225 Жыл бұрын
@@karstenkunneman5219 Im dead
@Psowi
@Psowi 8 ай бұрын
Maybe because you arent studying TEM
@mphIII
@mphIII 7 ай бұрын
@@Psowi exactly, you just proved why non STEM students shouldn't have to take calculus
@aidenx3vv
@aidenx3vv 10 ай бұрын
When it comes to finding the missing side of the right triangle, it's worth noting that it always turns out to be the square root from the original integral that made us need to do a trig sub in the first place
@georgesadler7830
@georgesadler7830 8 ай бұрын
Please watch Professor V, Integral of the Day Playlist for more on Techniques of Integration in Calculus. Pattern recognition is also needed for Trig Substitution.
@Coreyahno
@Coreyahno 2 жыл бұрын
For all you people struggling through Calc 2 right now, just keep at it and take comfort in the fact that Calc 3 and Differential Equations won’t be nearly as bad. I’m in D.E right now and it’s actually kind of fun!
@Sam2rreal
@Sam2rreal 2 жыл бұрын
fr?
@johnlouiederayunan7851
@johnlouiederayunan7851 2 жыл бұрын
thanks. barely at the edge rn
@cheekybum1513
@cheekybum1513 2 жыл бұрын
that's exactly what I heard at my school. People say Calc 2 is the hardest calc class
@tek1645
@tek1645 Жыл бұрын
Unfortunately I only need calc 1 and 2
@GIGATHEBOT
@GIGATHEBOT 4 ай бұрын
oh boy, but than i got continuous time systems after that.
@calebnguyen7348
@calebnguyen7348 3 жыл бұрын
I watched this video an hour before my test in desperate need of help since I did not understand it. I saw a question and I got it right because of you. Thank you so much!
@maryconnot3424
@maryconnot3424 2 жыл бұрын
I would just like to say thank you to the organic chemistry tutor! You are the greatest! His videos have helped me with bio, chem, calc 1 and 2, and physics
@elliewolcott6254
@elliewolcott6254 Жыл бұрын
Revisiting this for calc 3. Thanks so much for your videos! They help A TON.
@avunz125
@avunz125 3 жыл бұрын
This dude is covering calc2 while I'm doing it. It's one of the best feeling in the world.
@eri4232
@eri4232 2 жыл бұрын
I’m so thankful you made a video on this, I went crazy trying to understand this when the textbook just put it with no explanations
@nathankraft6102
@nathankraft6102 3 жыл бұрын
I watched an hour long lecture from my professor and did not understand this but watched 2 minutes of your video and I already understand it better. Thank you for your service to confused college students.
@Mattletic
@Mattletic 2 жыл бұрын
That's exactly what I was saying. I just spent 75 minutes in class, and understand the subject more in the first two minutes of this video, then my teacher has taught me in the whole chapter
@kaevindixon77
@kaevindixon77 2 жыл бұрын
Love this guy but at 3:30 he dropped the square of sin in the denominator of the integral. Just for people that are trying to follow along
@MD-cy7lb
@MD-cy7lb 2 жыл бұрын
He corrected that in 4.12 mintes
@yuunaa7827
@yuunaa7827 Жыл бұрын
@@MD-cy7lb but why does the numerator still 4(1-sin^2theta), shouldn't it be 4(1-sin theta) only because 2^2 is already 4?
@unregistereduser5929
@unregistereduser5929 2 жыл бұрын
Thank you so much! Your channel always pulls me through trouble, I'm grateful for your hard work!!
@PunmasterSTP
@PunmasterSTP Жыл бұрын
I tutor calculus students and yesterday I realized I was rusty on trig substitution. This video was just what I needed; thanks for sharing!
@nuridaw9586
@nuridaw9586 Жыл бұрын
The last time I learned Calculus was almost 20 years ago, and this year I need to tutor Calculus. Your videos really really helped me. You are really gifted with being able to explain complex things in simple ways. THANK YOU.
@josuequintero-td5gh
@josuequintero-td5gh 11 ай бұрын
This might be a stupid question but do you remember anything from 20 years ago?
@nuridaw9586
@nuridaw9586 11 ай бұрын
@@josuequintero-td5gh Yes, generally I do. But if you are asking whether I remember what I learned about Calculus 20 years ago, yes I remember the basics.
@Mariamak98
@Mariamak98 3 жыл бұрын
🏃🏻‍♀️5 hours till my exam, i am grateful that u uploaded this today , thankkkk uuu
@abmsirpaathshala3175
@abmsirpaathshala3175 2 жыл бұрын
kzbin.info/www/bejne/i6K2mpmBgpqYisk
@batzuljohnthomas6094
@batzuljohnthomas6094 2 жыл бұрын
No way, every question I have I look for it and your channel appears, I will definitely dedicate my title to you when I graduate, thanks for everything!
@xXRedTheDragonXx
@xXRedTheDragonXx Жыл бұрын
Thank you for this video! I can't understand what my calculus professor is talking about sometimes and your videos really help!!
@shmrzwdd
@shmrzwdd 3 жыл бұрын
Thankyou so much ! 💜 Its exactly what i need
@emmafoster7330
@emmafoster7330 Жыл бұрын
This helped me so much with my Cal2 homework! Keep it up man!
@Allahu_Akbar_the_one
@Allahu_Akbar_the_one 9 ай бұрын
damn-can't get away without knowing my Trig anymore. Looks like I have to do a whole relearning!
@generalmalaise2930
@generalmalaise2930 7 ай бұрын
yep exactly. ive been alright with my surface-ish recall of trig until this lesson lmao
@Amaru1111
@Amaru1111 2 ай бұрын
​@@generalmalaise2930haha wait until you need to know reduction formulas and power reducing rules
@rorymackinnon6133
@rorymackinnon6133 2 жыл бұрын
You are the best teacher I ever had. Thank you for everything you do. Making it look so easy is probably the hardest part, but it makes all the difference. Screw kahn academy.
@puremaths2444
@puremaths2444 3 жыл бұрын
A part of my school fees should be given to this guy,,
@rnz9999
@rnz9999 3 жыл бұрын
This came out at the right time, I have an exam about this tomorrow, thanks
@danielzuniga6570
@danielzuniga6570 Жыл бұрын
You are the reason I am understanding calc, bless you
@niyomizeropierrecelestin6018
@niyomizeropierrecelestin6018 Жыл бұрын
Thank you very much. I already understand what was complicated to me. May God bless you 🙏.
@bata3258
@bata3258 2 ай бұрын
Best revision channel ngl
@alexcoello4288
@alexcoello4288 5 ай бұрын
You're a literal saint dude Thank you for all of your videos you have helped me tremendously with stats and calc!
@amanielmeharena3885
@amanielmeharena3885 Жыл бұрын
Tried the Third problem at the end, solved it, ty!
@user-ne2tl7nc1u
@user-ne2tl7nc1u 4 ай бұрын
this channel has single handedly saved my grade in math so many times
@topgminset420
@topgminset420 2 жыл бұрын
love ur videos man thanks very much my whole confusion is gone
@ateezstanhell
@ateezstanhell 7 ай бұрын
lmao you are my savior istg i have a test on thursday and im PANICKING bc i completely zoned out these past few weeks i needed a solid lesson on how to do these thank you
@afaqahmad8674
@afaqahmad8674 2 жыл бұрын
Thank u so much! You have proved that maths can be learned virtually as effective as physically.
@silentintegrals9104
@silentintegrals9104 2 жыл бұрын
😎
@mattjw16
@mattjw16 3 ай бұрын
For the last one, why can’t you do 9sec^3(arctan(x/3)) - 27sec(arctan(x/3)) + C?
@alassansaine
@alassansaine 3 жыл бұрын
Thanks professor JG
@McGregorofManchester
@McGregorofManchester 7 ай бұрын
You are an amazing interllect and you deserve an Academic Golden Nobel price for your amazing work...keep going man be blessed, be healthy..thanks.
@georgesadler7830
@georgesadler7830 2 жыл бұрын
Professor Organic Chemistry Tutor, thank you for another excellent video/lecture on Trigonometric Substitution in Calculus Two. All students/nonstudents should have a solid understanding of Trigonometry before studying Trig Substitution.. This is an error free video/lecture on KZbin TV with the Organic Chemistry Tutor.
@helenemso32
@helenemso32 4 ай бұрын
very clear lecture thank you u are amazing keep working the organic chemistry
@mohammadshabih5293
@mohammadshabih5293 3 жыл бұрын
Bruh I was confused about this and now you uploadef this🥺
@oykubozalioglu1465
@oykubozalioglu1465 2 жыл бұрын
Thank you, this helped me a lot !
@desiledolapo9012
@desiledolapo9012 3 жыл бұрын
Can you do a video for crystal systems pleaseee😭😭😭 Thanks for every one of your video btw, they help a lot!
@kisongochijoseph7972
@kisongochijoseph7972 2 жыл бұрын
What a professor, thank you so much
@karycolin9046
@karycolin9046 2 жыл бұрын
Thanks for this amazing video! Regards from Mexico!
@aralia.
@aralia. 2 жыл бұрын
my test is in an hour thank you so so much!!!
@littlelemming9688
@littlelemming9688 Жыл бұрын
Thank you for your very helpful video. 😊
@abcdefghij7256
@abcdefghij7256 2 жыл бұрын
Thank you for this lesson organic chem!
@aiman_shakir
@aiman_shakir Жыл бұрын
Thank you so much for the explanation!! 🥰🥰
@JohnSmith-hp9ds
@JohnSmith-hp9ds Жыл бұрын
Thank you so much You're the absolute best
@philipsoyoo6862
@philipsoyoo6862 Жыл бұрын
I am going to achieve...above average because of you
@utilizator1701
@utilizator1701 2 жыл бұрын
8:03 whoa! Much simpler method to determin tan(arcsin(x/2)), cos(arcsin(x/2)) etc. Until now I have used trigonometric relations and calculus to determin those functions.
@theengineer9910
@theengineer9910 11 ай бұрын
In TheOrganicChemistryTutor We Trust
@SHAHRIARMOSTAFA-il5fy
@SHAHRIARMOSTAFA-il5fy 2 ай бұрын
please do a video on gamma and beta functions too i love your channel
@jpmcfrosty
@jpmcfrosty Жыл бұрын
This chapter right here, is the core difficulty of all embodiment of Calculus holy shit
@humzaperacha
@humzaperacha 8 ай бұрын
This just makes me realize how bad my prof actually is. We have been blessed with your existence. Tysm!
@DesertSoldier_ii
@DesertSoldier_ii Жыл бұрын
You’re a life saver
@cloudyyish
@cloudyyish Жыл бұрын
thanks so much for ur help homie
@soapygaming1562
@soapygaming1562 2 жыл бұрын
You are a lord and savior I was stuck on this
@JassCodes
@JassCodes 3 жыл бұрын
You are our life saviour !
@abmsirpaathshala3175
@abmsirpaathshala3175 2 жыл бұрын
kzbin.info/www/bejne/i6K2mpmBgpqYisk
@lyndseystrait1513
@lyndseystrait1513 3 ай бұрын
1:12 Full list of trig formats & associated x=a formulas. Problem 1 (1:18-8:45); Problem 2 (9:02-19:24)
@antoniostorbey2278
@antoniostorbey2278 Жыл бұрын
Thanks A lot and keep going!
@kundana2005
@kundana2005 8 ай бұрын
Thank you so much!
@user-ii5vf5jx7j
@user-ii5vf5jx7j 18 күн бұрын
organic Chemistry tutor you deserve something huge from the world wide🤑🥰
@J_3564
@J_3564 9 ай бұрын
This channel is the goat
@szxnv
@szxnv 10 ай бұрын
Thank You!
@dingalmitchiec.5933
@dingalmitchiec.5933 Жыл бұрын
Thank you!
@beigomaacademymathsclub5873
@beigomaacademymathsclub5873 Жыл бұрын
Thank you soooooo much
@chump_
@chump_ Жыл бұрын
i just like listening to your voice honestly
@preston7246
@preston7246 Жыл бұрын
it is 8 pm I have a calc 2 final tomorrow morning and I'm just now trying to finally learn trig subs.
@matthewhrndz
@matthewhrndz Жыл бұрын
how'd you do?
@preston7246
@preston7246 Жыл бұрын
@@matthewhrndz I got a 151/200 on the final and passed the class with a 76
@matthewhrndz
@matthewhrndz Жыл бұрын
@@preston7246 aye let's gooo, i have my calc 2 final next wednesday
@preston7246
@preston7246 Жыл бұрын
@@matthewhrndz nice nice good luck on it man
@deloybandawe421
@deloybandawe421 5 күн бұрын
Thanks😊
@lonkbadonk3195
@lonkbadonk3195 2 жыл бұрын
the god tier tutor of the internet
@renaaa_8913
@renaaa_8913 7 ай бұрын
Better than my professor!
@sommycharles1800
@sommycharles1800 3 жыл бұрын
U are simply the best
@wakuwaku3190
@wakuwaku3190 5 ай бұрын
MERRY CHRISTMAS SIR! ❤
@theriptide9461
@theriptide9461 Жыл бұрын
THANK YOU
@SISKCERTWaJaVlogs
@SISKCERTWaJaVlogs 2 жыл бұрын
well explained
@zheyeetan4048
@zheyeetan4048 2 жыл бұрын
Waaa...thank you so much, you make my life easier. I think a part of my school fees should be given to you!
@Rahmanyboss
@Rahmanyboss Жыл бұрын
2:37 was my favorite part 👌
@diegofpe1
@diegofpe1 3 жыл бұрын
You are amazing sir, thank you 🙏🏽🙏🏽
@user-fk5di4me9c
@user-fk5di4me9c Жыл бұрын
This is by all means the hardest shit I have ever studied it!
@mhlantuloxhantilethu-rx1vl
@mhlantuloxhantilethu-rx1vl Жыл бұрын
your are the best ❤👌👍
@hisuii
@hisuii 8 ай бұрын
god bless bro i got a calculus exam in 8 hours this just saved my ass
@Loogia
@Loogia Жыл бұрын
Never took a trig class before, so y'all already know I'm having a great time in calculus 😂
@abhinavcheedella4296
@abhinavcheedella4296 3 жыл бұрын
I lowkey have been watching these even when im not even in math anymore so that i can keep my math skills
@titititi6831
@titititi6831 2 жыл бұрын
Thanks a lot
@kidusyakob4655
@kidusyakob4655 Жыл бұрын
Yes thank u for this thank you very much sir thank uuuuuu
@izzyheslop7522
@izzyheslop7522 2 жыл бұрын
this video saved me
@janeshin9473
@janeshin9473 4 ай бұрын
Thank you !!!!
@naeliemad
@naeliemad Жыл бұрын
You're truly the best! thank you very mucchh!!!! Don't know how I would be learning the material w/o you!!
@lettuce1325
@lettuce1325 2 жыл бұрын
I have not met a professor who you have not routinely outclassed
@ayahraisha5234
@ayahraisha5234 3 жыл бұрын
you are so great its unfortunate that i can't find the "join" option on your channel :( i really wanna have access to your full vids
@dodnsnbdkdsusn9600
@dodnsnbdkdsusn9600 3 жыл бұрын
Join his patreon
@rezanhammo3224
@rezanhammo3224 2 ай бұрын
Look no more
@koldfire1917
@koldfire1917 4 ай бұрын
“So now we gotta do some math” Hm, I had a hunch.
@igorfritz2973
@igorfritz2973 3 жыл бұрын
thank you
@user-ik6ne8wy3w
@user-ik6ne8wy3w Ай бұрын
your the best
@laibakhan8380
@laibakhan8380 Жыл бұрын
I don't know how to thank you! 😭😭😭😭❤️❤️
@mrnajj9189
@mrnajj9189 Жыл бұрын
bruh this is like so hard for no reason wtf.
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